You'd be surprised, just today we had to have a conversation with a family member about how consistently taking in loser degenerate men is ruining her life.
The men that are ruining her life are not the sort of "weak men" being discussed here. The ones ruining her life, I can just about guarantee, exude the impression that they don't play by other people's rules. To women, that is strength.
Sounds like we are going to end up with a tautological definition. Women reject men who are weak as defined by men who women reject.